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64684032 = 2163747
BaseRepresentation
bin1111011011000…
…0000000000000
311111201021210220
43312300000000
5113024342112
610230223040
71413543120
oct366600000
9144637726
1064684032
1133570086
12197b4a80
1310529c9a
14883ac80
155a2a98c
hex3db0000

64684032 has 136 divisors (see below), whose sum is σ = 201325056. Its totient is φ = 18087936.

The previous prime is 64684013. The next prime is 64684033. The reversal of 64684032 is 23048646.

It is a junction number, because it is equal to n+sod(n) for n = 64683984 and 64684002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64684033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1376233 + ... + 1376279.

Almost surely, 264684032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64684032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100662528).

64684032 is an abundant number, since it is smaller than the sum of its proper divisors (136641024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64684032 is an frugal number, since it uses more digits than its factorization.

64684032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 64684032 is about 8042.6383730714. The cubic root of 64684032 is about 401.4200195623.

The spelling of 64684032 in words is "sixty-four million, six hundred eighty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 256 282 329 336 376 384 448 512 564 658 672 752 768 896 987 1024 1128 1316 1344 1504 1536 1792 1974 2048 2256 2632 2688 3008 3072 3584 3948 4096 4512 5264 5376 6016 6144 7168 7896 8192 9024 10528 10752 12032 12288 14336 15792 16384 18048 21056 21504 24064 24576 28672 31584 32768 36096 42112 43008 48128 49152 57344 63168 65536 72192 84224 86016 96256 98304 114688 126336 144384 168448 172032 192512 196608 229376 252672 288768 336896 344064 385024 458752 505344 577536 673792 688128 770048 1010688 1155072 1347584 1376256 1540096 2021376 2310144 2695168 3080192 4042752 4620288 5390336 8085504 9240576 10780672 16171008 21561344 32342016 64684032